Evidence for a magnetic field-induced "hidden" spin nematic phase in the frustrated and anisotropic spin-chain cuprate LiCuSbO$_4$

Modern theories of quantum magnetism predict exotic "hidden" spin-nematic phases in strongly frustrated spin-1/2 Heisenberg chains. Experimentally these phases remained elusive so far. Here we report the evidence for a long-sought magnetic field-induced nematic phase arising above a field $\sim 13$ T in the edge-sharing chain cuprate compound LiSbCuO$_4$ $\equiv$ LiCuSbO$_4$. This evidence is based on the observation of the field induced spin-gap in the measurements of the $^7$Li NMR spin relaxation rate $T_1^{-1}$ supported by static magnetization and ESR data. An underlying microscopic theoretical scenario based essentially on nearest neighbor XYZ exchange anisotropy within a quantum model for frustrated spin-1/2 chains is developed and investigated by the DMRG technique. The employed exchange parameters are justified qualitatively by electronic structure calculations for LiCuSbO$_4$.